On a conjecture of Tokushige for cross-\(t\)-intersecting families

DOI10.1016/j.jctb.2024.11.005MaRDI QIDQ6661602

Biao Wu, Hua Jun Zhang

Publication date: 13 January 2025

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

zbMATH Keywords

extremal combinatoricscross-\(t\)-intersecting

Mathematics Subject Classification ID

Extremal set theory (05D05)

Cites Work

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• The eigenvalue method for cross \(t\)-intersecting families
• An Erdős-Ko-Rado theorem for cross \(t\)-intersecting families
• The complete intersection theorem for systems of finite sets
• The exact bound in the Erdős-Ko-Rado theorem
• The exact bound in the Erdős-Ko-Rado theorem for cross-intersecting families
• Non-trivial intersecting families
• Ein Satz über Untermengen einer endlichen Menge.
• Nontrivial independent sets of bipartite graphs and cross-intersecting families
• The complete nontrivial-intersection theorem for systems of finite sets
• The maximum product of sizes of cross-$t$-intersecting uniform families
• The maximum product of weights of cross-intersecting families
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• A new generalization of the Erdős-Ko-Rado theorem

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